Finding the Fourth Proportional to 1,196.91, 1,795.98 and 494.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.91 : 1,795.98 = 494.64 : x
2. Step 2: Convert to fraction form
   1,196.91/1,795.98 = 494.64/x
3. Step 3: Cross multiply
   1,196.91x = 1,795.98 × 494.64
4. Step 4: Simplify right side
   1,196.91x = 888,363.55
5. Step 5: Solve for x
   x = 888,363.55/1,196.91
6. Step 6: Final answer
   x = 742.21